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Popular >

(dy)/(dx)=2y+a

Solution

\frac{d y}{d x} = 2 y + a

Solution

y = \frac{e ^{2 x + c_{1}}}{2} - \frac{a}{2}

Solution steps

\frac{d y}{d x} = 2 y + a

Solve separable ODE:

y = \frac{e ^{2 x + c_{1}}}{2} - \frac{a}{2}

y = \frac{e ^{2 x + c_{1}}}{2} - \frac{a}{2}

Popular Examples

integral of 1/(z+1)

\int \frac{1}{z + 1}

derivative of-(x^2)

\frac{d}{d x} (- (x^{2}))

derivative of (-11/(sqrt(x)))

\frac{d}{d x} (\frac{- 11}{x})

limit as x approaches 0+of ((sin(x))/x)^{1/x}

x \to 0 + lim ((\frac{sin ( x )}{x})^{\frac{1}{x}})

derivative of (1+ln(x)/(x^2-ln(x)))

\frac{d}{d x} (\frac{1 + ln ( x )}{x ^{2} - ln ( x )})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2y+a ?
The solution for (dy)/(dx)=2y+a is y=(e^{2x+c_{1}})/2-a/2